Abstract
In the article, the nonlinear equation is reduced to an ordinary differential equation under the travelling wave transformation. Using trial equation method, the ODE is reduced to the elementary integral form. In the end, complete discrimination system for polynomial is used to solve the corresponding integrals and obtain the classification of all single travelling wave solutions to the equation.
Highlights
Nonlinear phenomena are general problems in every field of engineering technology, science research, natural world and human society activities
The nonlinear differential equation is reduced to an ordinary differential equation under the travelling wave transformation
Using the trial equation method, the ODE is reduced to the elementary integral form
Summary
Nonlinear phenomena are general problems in every field of engineering technology, science research, natural world and human society activities. To obtain the travelling wave solutions, many methods were attempted, such as the inverse scattering method [1], Hirotas bilinear transformation [2,3], the tanh method [4], sine-cosine method [5], homogeneous balance method [6,7], exp-function method [8], and so on. Professor Liu proposed a powerful method named trial equation method for finding exact solutions to nonlinear differential equations [9,10,11]. By using his method, the nonlinear differential equation is reduced to an ordinary differential equation under the travelling wave transformation. Some new solutions to the Benjamin Ono equation are given
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
